[Can I use ICOCA card from Kyoto to Nara?]

I'm planning a trip from Kyoto to Nara. Can I use ICOCA card from Kyoto to Nara?

Also, what is the best way to get to Nara from Kyoto?

[Staying in Yokohama when visiting Tokyo]

I will be going with my family to Tokyo for two weeks early next year. We are going to be visiting Tokyo, Yokohama and taking day-trips around Tokyo.  Does it make sense to make Yokohama the base for our stay and visit Tokyo attractions from there? Alternatively, would it be more practical to divide our hotel stays between both cities?

 

Is it convenient to take a day-trips to Hakone, Kamakura, Kawagoe from Yokohama? Any guidance would be greatly appreciated.